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NNADVOKAT [17]
3 years ago
14

1

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
6 0

The zeros of the function f(x) = -(x + 1)(x - 3)(x + 2) are -1, 3, and -2, and the y-intercept of the function is located at (0,6)

<h3>The complete question</h3>

The zeros of the function f(x) = -(x + 1)(x - 3)(x + 2) are –1, 3, and __and the y-intercept of the function is located at (0,__)

<h3>How to determine the zeros?</h3>

The function is given as:

f(x) = -(x + 1)(x - 3)(x + 2)

Set the function to 0

-(x + 1)(x - 3)(x + 2) = 0

Divide both sides by - 1

(x + 1)(x - 3)(x + 2) = 0

Split

x + 1 = 0, x - 3 = 0 and x + 2 = 0

Solve for x

x = -1, x = 3 and x = -2

Hence, the zeros of the function f(x) = -(x + 1)(x - 3)(x + 2) are -1, 3, and -2

<h3>How to determine the y-intercept?</h3>

The function is given as:

f(x) = -(x + 1)(x - 3)(x + 2)

Set x to 0

f(0) = -(0 + 1)(0 - 3)(0 + 2)

Evaluate

f(0) = 6

Hence, the y-intercept of the function is located at (0,6)

Read more about functions at:

brainly.com/question/20691826

#SPJ1

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Which of the binomials below is a factor of this trinomial? x2 + 5x + 6
lianna [129]

Factor out the trinomial. Find factors of x² and 6 that would, when added, give you 5x

x² = x * x

6 = 3 * 2

(x + 3)(x + 2) are your binomials.

To solve for x, set each parenthesis = 0

x + 3 = 0

x + 3 (-3) = 0 (-3)

x = -3

x + 2 = 0

x + 2 (-2) = 0 (-2)

x = -2

x = -3, -2

hope this helps

5 0
3 years ago
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Kari drew two parallel lines PQ and RS intersected by a transversal KL, as shown below.. . Which fact would help Kari prove that
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The fact that alternate interior angles MNR and QMN are congruent to each other and vertical angles SNL and MNR are congruent to each other would help Kari prove that the measure of angle QMN is equal to the measure of angle SNL. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

6 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Chuge%5Cfbox%5Cgreen%7BQUESTION%7D%20" id="TexFormula1" title=" \huge\fbox\green{QUESTION
Anni [7]

\huge \fbox \orange{♧Answer♧}

\mathcal\blue{METHOD\:1}

\mathsf \purple{ - ( \frac{y}{x} )}

\mathsf \purple{ - ( \frac{ - 4}{5})}

\mathsf \purple{( \frac{4}{5} )}

\mathcal\blue{METHOD\:2}

\mathsf\purple{m\:=\:(Y2\:-\:Y1)\:÷\:(X2\:-X1)}

\mathsf\purple{m\:=\:(-4\:-0)\:÷\:(0\:-\:5)}

\mathsf\purple{( \frac{4}{5})}

\mathcal\blue{METHOD\:3}

\mathsf\purple{m\:=\:rise\:÷\:run}

\mathsf\purple{m\:=\:( \frac{4}{5})}

\mathbb\pink{NOTE:}

  • The difference between the y-coordinates of the two points is called the rise.
  • The difference between the x-coordinates of the same two points is called the run.
  • The slope can be calculated by dividing the rise by run.
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Explain how to find reasonable domain values for a function
Oksi-84 [34.3K]
A reasonable domain and range is the set of values that exist for the function. The sets that are not reasonable are not considered domain and range. For instance, f(x) = 15√(x - 3) 
The reasonable domain is {x | R, x ≥ 3} since you can't have negative value inside the radicand. 
The reasonable range is {f(x) | R, f(x) ≥ 0} since the minimum value is 0 [Noting that x = 3 gives f(3) = 15√(3 - 3) = 15√0 = 0] 
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jek_recluse [69]

Answer:

(p - 7)(2p - 5)

Step-by-step explanation:

2 {p}^{2}  - 19p + 35 \\  \\  = 2 {p}^{2}  - 14p - 5p + 35 \\  \\  = 2p(p - 7) - 5(p - 7) \\  \\  = (p - 7)(2p - 5)

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